The area of the triangle formed by line x/a+y/b=1 with the co-ordinate axes is
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Step-by-step explanation:
Here, Line ; x/a + y/b = 1
for forming triangle we have require three non - colinear vertices.
this line cut in X - axis ,
when, y = 0
x/a + 0/b = 1
x = a hence, at X-axis it cuts (a , 0)
similarly cuts in Y-axis
when, x = 0
0/a + y/b = 1
y = b hence, at (0, b) it cuts in Y-axis
now, we have three points (0, 0), (a , 0) and ( 0, b)
use co-ordinate Geometry formula for finding area of ∆ if points are given.
ar∆ = 1/2 [ 0 + a( b - 0) + 0 ]
= 1/2 ab
hence, area of ∆ = (ab)/2
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